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Unit 4: Rot/Lin Speed Warm-Up

Total questions: 8

Worksheet time: 25mins

Name
Class
Date
1.

Find the area of the sector, rounding your answer to 1d.p. (use the pi key in the calculator or 3.14)

a)

67.1cm2

b)

67.0cm2

c)

16.8cm2

d)

134.0cm2

2.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
3.

Find the area of the shaded sector of the circle. Leave your answer in terms of π. Pro Tip: Find the angle for the yellow section FIRST.

a)
b)
c)
d)
4.

A gear spins at a rate of 400 revolutions/minute. Which choice is closest to its angular speed in radians/second? (Use the pi key in the calculator or 3.14, round to the nearest tenth.)

a)

6.67 rad/s

b)

2500 rad/s

c)

41.9 rad/s

d)

20.9 rad/s

5.

A record spins at 33 rpm (revolutions per minute). What is the approximate linear speed (in cm per second) of a fly that sits on the record, 12 cm from the center? (Use the pi key in the calculator or 3.14, round to the nearest tenth.)

a)

3.4 cm/s

b)

21.5 cm/s

c)

41.5 cm/s

d)

131.9 cm/s

6.

A child sits 0.75 m from the center of a merry go round. The merry go round makes one revolutions in 4 seconds. What is the child's linear speed? (Use 3.14 as pi, and Round your answer to tenths)

a)

1.9 m/s

b)

1.2 m/s

c)

12.6 m/s

d)

4.71 m/s

7.
The wheel of a machine rotates at the rate of 300 rpm (rotation per minute). If the diameter of the wheel is 80 cm, what is the linear speed (in cm per second) of a point on the wheel?
a)
1257 cm/sec
b)
200 cm/sec
c)
1440,000 cm/sec
d)
542 cm/sec
8.
A car tire has a diameter of 14 inches and is spinning at a rate of 10 revolutions per second. What is the angular speed in radians per hour?
a)
120π rad / 1 hr
b)
1,008,000π rad / 1 hr
c)
504,000π rad / 1 hr
d)
7200π rad / 1 hr